Modeling and Computing for Geotechnical Engineering: An Introduction

Modeling and Computing for Geotechnical Engineering: An Introduction

by M.S. Rahman, M.B. Can Ulker

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Product Details

ISBN-13: 9781498771672
Publisher: Taylor & Francis
Publication date: 09/11/2018
Pages: 506
Product dimensions: 7.00(w) x 10.00(h) x (d)

About the Author

M. S. Rahman is a Professor of Civil Engineering at North Carolina State University.

M. B. Can Ülker is an Associate Professor of Civil Engineering at Istanbul Technical University in Turkey.

Table of Contents

Preface

Introduction

BASIC MECHANICS

Stresses and Strains

Introduction

Reference Coordinate System: Notations

Strains

Stresses

Mohr’s Circle

Physical Laws and Governing Equations

Introduction

Idealizations

Total and Effective Stresses in Soils

Law of Conservation of Momentum: Equilibrium Equations

Law of Conservation of Mass

ELEMENTAL RESPONSE: CONSTITUTIVE MODELS

I. Introduction

II. Soil Behavior: From Experimental Results

III. Modeling of Soil Behavior

Elasticity

Elastic Constitutive Law

Plasticity Theory: Nonlinear Deformation of Soils

Introduction

Nonlinear Deformation of Soils

Elements of Plasticity

Yielding Criteria

Post-Yield Behavior

Perfect Plasticity

Hardening Plasticity

Loading/Unloading Criterion

Exercise Problems

Viscoelasticity and Viscoplasticity

Introduction

Viscoelastic Behavior: Fundamental Rheological Models

Viscoelastic Behavior: Composite Rheological Models

Formulation Methods in Viscoelasticity

1-D Viscoelastic Analysis of Soil Layers under Vertical Circular Loading

Viscoplasticity

Exercise Problems

SYSTEM RESPONSE: METHODS OF ANALYSES

Analytical Methods

Introduction

1-D Flow through a Land Mass: Island Recharge Problem

Regional Groundwater Flow: Steady State Seepage

1-D Deformation of a Soil Column

1-D Consolidation of a Soil Column: Decoupled Flow and Deformation

Contaminant Transport

1-D Coupled Flow and Deformation

2-D Coupled Flow and Deformation

Exercise Problems

Semi-Analytical Methods

Introduction

Stress Analysis

Quasi-Static Analysis of Multi-Layer Porous Media under Waves

Exercise Problems

Finite Difference Method

Introduction

Finite Difference Approximation of Derivatives

FDM for Consolidation (Parabolic) Equation

FDM for Seepage (Laplace) Equation: 2-D Steady State Flow

FDM for Groundwater Flow: Aquifer Simulation

FDM for Consolidation of a Layered System

FDM for Laterally Loaded Piles: Soil-Structure Interaction

Error, Convergence and Stability

Exercise Problems

Finite Element Method

Introduction

Direct Stiffness Method

Galerkin Method of Weighted Residual

FEM: 1-D Problems

FEM: 2-D Problems

Basic Element Formulations

The Principle of Minimum Potential Energy

Isoparametric Element Formulation

Exercise Problems

Appendices

A.1 Fourier Series and Fourier Transform

A.2 Laplace Transform

A.3 MATLAB Commands: FFT, IFFT, FFTSHIFT

A.4 Solution Flow Chart for the Analysis of a Viscoelastic Material

A.5 Analytical Solution of Wave-Induced Porous Soil Layer Response

A.5 Semi-Analytical Solution of Wave-Induced Multi-Layer Porous Soil Response

References

Index

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